Details
| Original language | English |
|---|---|
| Number of pages | 13 |
| Publication status | E-pub ahead of print - 25 May 2018 |
Abstract
Keywords
- math.CO, 52B20 (Primary) 14T05 (Secondary)
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
2018.
Research output: Working paper/Preprint › Preprint
}
TY - UNPB
T1 - Vertex-Maximal Lattice Polytopes Contained in 2-Simplices
AU - Litza, Jan-Philipp
AU - Pegel, Christoph
AU - Schmitz, Kirsten
N1 - 13 pages, 7 figures
PY - 2018/5/25
Y1 - 2018/5/25
N2 - Motivated by the problem of bounding the number of rays of plane tropical curves we study the following question: Given \(n\in\mathbb{N}\) and a unimodular \(2\)-simplex \(\Delta\) what is the maximal number of vertices a lattice polytope contained in \(n\cdot \Delta\) can have? We determine this number for an infinite subset of \(\mathbb{N}\) by providing a family of vertex-maximal polytopes and give bounds for the other cases.
AB - Motivated by the problem of bounding the number of rays of plane tropical curves we study the following question: Given \(n\in\mathbb{N}\) and a unimodular \(2\)-simplex \(\Delta\) what is the maximal number of vertices a lattice polytope contained in \(n\cdot \Delta\) can have? We determine this number for an infinite subset of \(\mathbb{N}\) by providing a family of vertex-maximal polytopes and give bounds for the other cases.
KW - math.CO
KW - 52B20 (Primary) 14T05 (Secondary)
M3 - Preprint
BT - Vertex-Maximal Lattice Polytopes Contained in 2-Simplices
ER -